Mathematics of a model for Zika transmission dynamics

Y. A. Terefe, H. Gaff, M. Kamga, L. van der Mescht

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

Zika is a flavivirus transmitted to humans through either the bite of infected Aedes mosquitoes or sexual intercourse with infected individuals. In this paper, we present a mathematical model based on these two modes of transmission. Using the next-generation matrix method, a threshold parameter called basic reproduction number is determined. Sensitivity analysis of the basic reproduction number in terms of parameters involved in its formulation is discussed. A dynamically consistent nonstandard finite difference scheme is designed to replicate the properties of the continuous model. Numerical simulations of the nonstandard finite difference scheme that we have constructed show the number of infected humans due to sexual intercourse with Zika virus infectious individuals. The numerical simulations also support the theoretical analysis of the model.

Original languageEnglish
Pages (from-to)209-218
Number of pages10
JournalTheory in Biosciences
Volume137
Issue number2
DOIs
StatePublished - 1 Nov 2018
Externally publishedYes

Keywords

  • Basic reproduction number
  • Disease-free equilibrium
  • Zika virus

ASJC Scopus subject areas

  • Statistics and Probability
  • Ecology, Evolution, Behavior and Systematics
  • Applied Mathematics

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